Example 1 A. Find the series 1, 3, 5, 7, 9, 11 B. Find the series 8, 13, 18, 23, 28, 33, 38

Arithmetic Series An Arithmetic Series is the sum of an ___________________ arithmetic sequence Formula for arithmetic series Sn=Sn=

Example 2 A. Given …, find S 25. B. Given 16, 12, 8, 4, …, find S 11.

Example 3 A. Evaluate.

B. Evaluate.

Geometric Series A Geometric Series is the sum of a ___________________ Formula for geometric series Sn=Sn= geometric sequence Example 1 Given the series … find S 10 to the nearest tenth.

Example 2 Evaluate.

11.6 Infinite Geometric Series An Infinite Geometic Series is a _____________________ with _______________ terms. Formula for infinite geometric series S = If  r  <1 then the ______ can be found If  r  >1 then the ______ cannot be found geometric sequence infinitely many

Example 1 A.Find the sum of the infinite geometric series … B.Find the sum of the infinite geometric series … How can this be?

Example 2 Find the sum of the infinite geometric series